On a property of the rings of polynomials over discretely normed rings

zbMath0807.16032MaRDI QIDQ1311170

K. Kh. Zakir'yanov

Publication date: 13 February 1994

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

general linear groupfree subgroupring of polynomialselementary and diagonal matrices\(GE_ 2\)-ringdiscretely normed ringright division algorithm

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Units, groups of units (associative rings and algebras) (16U60) Linear algebraic groups over adèles and other rings and schemes (20G35)

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